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Finding the Fourth Proportional to 984.06, 1,358.07 and 570.06

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Solution

The fourth proportional to 984.06, 1,358.07 and 570.06 is: 786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.06 : 1,358.07 = 570.06 : x
  2. Step 2: Convert to fraction form
    984.06/1,358.07 = 570.06/x
  3. Step 3: Cross multiply
    984.06x = 1,358.07 × 570.06
  4. Step 4: Simplify right side
    984.06x = 774,181.38
  5. Step 5: Solve for x
    x = 774,181.38/984.06
  6. Step 6: Final answer
    x = 786.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.